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Finding the Fourth Proportional to 55,585.78, 83,378.85 and 13,465.78

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Solution

The fourth proportional to 55,585.78, 83,378.85 and 13,465.78 is: 20,198.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,585.78 : 83,378.85 = 13,465.78 : x
  2. Step 2: Convert to fraction form
    55,585.78/83,378.85 = 13,465.78/x
  3. Step 3: Cross multiply
    55,585.78x = 83,378.85 × 13,465.78
  4. Step 4: Simplify right side
    55,585.78x = 1,122,761,250.75
  5. Step 5: Solve for x
    x = 1,122,761,250.75/55,585.78
  6. Step 6: Final answer
    x = 20,198.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.